number system Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Linear Equations
Squareroots & Cuberoots
The number of three digit numbers (all digits are different) which are divisible by 7 and also divisible by 7 on reversing the order of the digits, is
Answer: (b)
100x + 10y + z is divisible by 7.
100z + 10y + x is divisible by 7.
on solving above two equation
(99x – 99z) is divisible by 7.
x – z is divisible by 7.
four possible numbers. are
8 y 1 or 1 y 8 and 9 y 2 or 2 y 9
Let S be a set of first fourteen natural numbers. The possible number of pairs (a, b), where a, b, S and a, b such that ab leaves remainder 1 when divided by 15, is
Answer: (d)
Here S be a set of 14 Natural Numbers
i.e. {1, 2, 3, 4, 5. ---- 14}
Possible no. of pairs.
{a, b} is {(2, 8), (7, 13)}
⇒ Pairs = 2
⇒ Option (d) is correct.
Find the least number which when divided by 12, leaves a remainder 7, when divided by 15, leaves a remainder 10 and when divided by 16, leaves a remainder 11
Answer: (b)
12 –7 = 5, 15 – 10 = 5 and 16 – 11 = 5
Hence the desired number is 5 short for divisibility by 12, 15 and 16.
L.C.M. of 12, 15, 16 is 240
Hence the least number = 240 – 5 = 235
Which of the following statements are true: (i) The rational number $29/23$ lies to the left of zero on the number line. (ii) The rational number ${- 12}/{- 17}$ lies to the right of zero on the number line. (iii) The rational numbers ${- 12}/5$ and ${- 7}/17$ are on the opposite side of zero on the number line. (v) The rational numbers ${- 21}/5$ and $7/{-31}$ are on the opposite side of zero on the number line.
Answer: (a)
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